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Calendar

The calendar provides lecture and recitation topics, problem set and quiz dates, and assigned readings from the course textbook, Introduction to Algorithms, 2nd Edition, by Cormen, Leiserson, Rivest, and Stein.

DAY # LECTURES RECITATIONS KEY DATES
1 Lecture 1 Administrivia; Introduction: Analysis of Algorithms, Insertion Sort, Mergesort
Reading: Chapters 1–2

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Quiz 0 Out
2

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Recitation 1 Correctness of Algorithms Quiz 0 Due
PS 1 Out
3 Lecture 2 Asymptotic Notation. Recurrences: Substitution, Iteration, Master Method
Reading: Chapters 3–4, Excluding §4.4

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4 Lecture 3 Divide and Conquer: Strassen’s Algorithm, Fibonacci Numbers, Polynomial Multiplication
Reading: §28.2 and §30.1

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5

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Recitation 2 Recurrences, Sloppiness (Akra-Bazzi)
Reading: Akra-Bazzi Handout

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6 Lecture 4 Quicksort, Randomized Algorithms
Reading: §5.1–5.3, Chapter 7

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PS 1 Due
PS 2 Out
7

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Recitation 3 Sorting: Heapsort, Dynamic Sets, Priority Queues
Reading: Chapter 6

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8 Lecture 5 Linear-time Sorting, Lower Bounds, Counting Sort, Radix Sort
Reading: §8.1–§8.3

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PS 2 Due
PS 3 Out
9 Lecture 6 Order Statistics, Median
Reading: Chapter 9

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10

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Recitation 4 Applications of Median, Bucketsort
Reading: §8.4

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11 Lecture 7 Hashing, Universal Hashing
Reading: §11.1–§11.3

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PS 3 Due
PS 4 Out
12 Lecture 8 Hash Functions, Perfect Hashing
Reading: §11.5

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-

13

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Recitation 5 Quiz 1 Review PS 4 Due
14 Graded PS 4 Available by Noon

-

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15 Quiz 1 in Class

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Quiz 1
16

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Recitation 6 Binary Search Trees, Tree Walks
Reading: §12.1–§12.3

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17 Lecture 9 Relation of BST’s to Quick Sort; Analysis of Random BST
Reading: §12.4

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PS 5 Out
18 Lecture 10 Red-Black Trees, Rotations, Insertions, Deletions
Reading: Chapter 13

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19

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Recitation 7 2-3 Trees, B-Trees
Reading: §18.1–§18.2

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20 Lecture 11 Augmenting Data Structures, Interval Trees
Reading: Chapter 14

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PS 5 Due
PS 6 Out
21 Lecture 12 Computational Geometry, Range Queries
Reading: §33.1–§33.2

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22

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Recitation 8 Convex Hulls
Reading: §33.3

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23 Lecture 13 van Emde Boas, Priority Queues
Reading: van Emde Boas Handout

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PS 6 Due
PS 7 Out
24 Lecture 14 Amortized Algorithms, Table Doubling, Potential Method
Reading: Chapter 17

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25

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Recitation 9 Competitive Analysis, Self-Organizing Lists

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26 Lecture 15 Dynamic Programming, Longest Common Subsequence, Optimal BST
Reading: Chapter 15

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PS 7 Due
PS 8 Out
27 Lecture 16 Greedy Algorithms, Minimum Spanning Trees
Reading: §16.1–16.3 and Chapter 23

-

-

28

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Recitation 10 Examples of Greedy Algorithms and Dynamic Programming

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29 Lecture 17 Shortest Paths, Dijkstra’s Algorithm, Breadth-First Search
Reading: §22.1, §22.2; pp. 580–587, §24.3

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PS 8 Due
PS 9 Out
30

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Recitation 11 Depth-First Search, Edge Classification
Reading: §22.3–22.5

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31 Lecture 18 Shortest Paths, Bellman-Ford, Shortest Paths in DAGs, Difference Constraints
Reading: §24.1, §24.2, §24.4, §24.5

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32 Lecture 19 All-Pairs Shortest Paths, Dynamic Programming, Floyd-Warshall, Johnson’s Algorithm
Reading: Chapter 25

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PS 9 Due
33 Lecture 20 Disjoint-Set Data Structure
Reading: Chapter 21

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34 Graded PS 9 Available by Noon

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35 Lecture 21 Take-Home Quiz 2 Handed Out; Ethics, Problem Solving (Mandatory Attendance)

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Quiz 2 Out
36

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NO RECITATION - Work on Quiz 2!

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37 NO LECTURE
Algorithmic Programming Contest Begins (Optional)

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Quiz 2 Due
38 Lecture 22 Network Flow, Max-Flow Min-Cut Theorem
Reading: §26.1– 26.2

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PS 10 Out (Optional)
39

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Recitation 12 Match Making
Reading: §26.3

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40 Lecture 23 Network Flow, Edmonds-Karp Algorithm

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Contest Entries Due
41 Lecture 24 Diagnostic Quiz in Class; Contest Awards; Discussion of Follow-on Courses

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PS 10 Solutions Out